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avanturin [10]
3 years ago
7

The measure of spt is b. The measure of tpr in s five more than two times spt. The measure of qps is twelve less than eight time

s the last measure of spt. Find the measure of spt, tpr, and qps.

Mathematics
1 answer:
Marrrta [24]3 years ago
5 0

Hello.

In your question, we can see that the points Q, P, and R can be assumed that they are in a straight line, meaning that the angle measures will add up to 180 (think of half a circle, which is 360 degrees).

This means that every angle added up will add up to 180 degrees.

Meaning we can set up the below equation:

(8b-12)+(b)+(2b+5)=180

8b-12+b+2b+5=180

11b-7=180

11b=187

b=17

After finding b, we can plug it back in to each expression for each angle measure.

∠QPS = 8b-12=8(17)-12=124

∠SPT = b=17

∠TPR = 2b+5=2(17)+5=39

Hope this helps!

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